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Finding the Fourth Proportional to 9,809.80, 14,682.30 and 6,893.80

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Solution

The fourth proportional to 9,809.80, 14,682.30 and 6,893.80 is: 10,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.80 : 14,682.30 = 6,893.80 : x
  2. Step 2: Convert to fraction form
    9,809.80/14,682.30 = 6,893.80/x
  3. Step 3: Cross multiply
    9,809.80x = 14,682.30 × 6,893.80
  4. Step 4: Simplify right side
    9,809.80x = 101,216,839.74
  5. Step 5: Solve for x
    x = 101,216,839.74/9,809.80
  6. Step 6: Final answer
    x = 10,317.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.